log_{25}(x+15)^{2}-log_5\nthroot{3}{x+15}=1

log_{36}(x+11)^{8}-log_6\nthroot{3}{x+11}=1

log_{5}(x)-log_{5}(y)=1

log_{5}(2\cdot x)+log_{5}(y+3)=2+log_{5}(4)

log_{4}(x+11)^{10}-log_2\nthroot{5}{x+11}=1

9log2+ylog4=xlog2

xlog9-2ylog27=\frac{1}3log729

log_6(x+y)-log_6(y-9)=1

6^{x}=6^3\cdot216^{y}

7log3+ylog9=xlog3

xlog4-2ylog8=\frac{1}2log16

log_{49}(x+16)^{6}-log_7\nthroot{5}{x+16}=1

log_{2}(x)-log_{2}(y)=1

log_{2}(3\cdot x)+log_{2}(y+2)=3+log_{2}(6)

12log4+ylog16=xlog4

xlog9-2ylog27=\frac{1}3log729

log_{4}(x+9)^{10}-log_2\nthroot{6}{x+9}=1

8log4+ylog16=xlog4

xlog4-2ylog8=\frac{1}5log1024

11log6+ylog36=xlog6

xlog4-2ylog8=\frac{1}2log16

log_5(x+y)-log_5(y-4)=1

5^{x}=5^6\cdot25^{y}

log_{25}(x+8)^{4}-log_5\nthroot{7}{x+8}=1

log_{10}(x)-log_{10}(y)=2

log_{20}(2\cdot x)+log_{20}(y+78)=3+log_{20}(4)

log_{10}(x)-log_{10}(y)=2

log_{10}(4\cdot x)+log_{10}(y+8)=3+log_{10}(8)

log_3(x+y)-log_3(y-8)=1

3^{x}=3^1\cdot3^{y}

log_{2}(x)-log_{2}(y)=1

log_{6}(3\cdot x)+log_{6}(y+16)=2+log_{6}(6)

log_{2}(x)-log_{2}(y)=1

log_{6}(2\cdot x)+log_{6}(y+107)=3+log_{6}(2)

log_2(x+y)-log_2(y-8)=1

2^{x}=2^4\cdot8^{y}

log_3(x+y)-log_3(y-8)=1

3^{x}=3^2\cdot3^{y}

11log2+ylog4=xlog2

xlog16-2ylog64=\frac{1}6log16777216

log_{9}(x+15)^{6}-log_3\nthroot{5}{x+15}=1